Orthogonality in locally convex spaces: Two nonlinear generalizations of Neumann's lemma

被引：3

作者：

Barbagallo, Annamaria ^{[1
]}

Ernst, Octavian-Emil ^{[2
]}

Thera, Michel ^{[3
,4
]}

机构：

[1] Univ Naples Federico II, Dept Math & Applicat R Caccioppoli, Via Cinthia,Complesso Univ Monte St Angelo, I-80126 Naples, Italy

[2] Aix Marseille Univ, CNRS, Cent Marseille, I2M, Marseille, France

[3] Univ Limoges, Lab XLIM, CNRS, UMR 6172, Limoges, France

[4] Federat Univ, Ctr Informat & Appl Optimizat, Ballarat, Vic, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 484卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Campanato nearness; Neumann lemma; Birkhoff-James orthogonality; Soderlind-Campanato lemma; Casazza-Christenses lemma; Birkhoff-Kakutani-Day-James theorem; OPERATORS;

D O I：

10.1016/j.jmaa.2019.123663

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove a symmetric version of the Neumann lemma as well as a symmetric version of the Soderlind-Campanato lemma. We establish in this way two partial generalizations of the well-known Casazza-Christenses lemma. This work is related to the Birkhoff-James orthogonality and to the concept of near operators introduced by S. Campanato. (C) 2019 Published by Elsevier Inc.

引用

页数：18

共 37 条

[31] Semi-Global Aspects of Uryshon's Lemma and Broken Two Sheets Spaces
Das, Prohelika
[J]. THAI JOURNAL OF MATHEMATICS, 2014, 12 (02): : 329 - 341
[32] Inverse of Berge's maximum theorem in locally convex topological vector spaces and its applications
Li, Wen
Li, Deyi
Feng, Yuqiang
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (05) : 761 - 772
[33] A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces
Liu, Yingfan
Wang, Youguo
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[34] Maharam-Types and Lyapunov's Theorem for Vector Measures on Locally Convex Spaces with Control Measures
Khan, M. Ali
Sagara, Nobusumi
[J]. JOURNAL OF CONVEX ANALYSIS, 2015, 22 (03) : 647 - 672
[35] EQUIVALENCE THEOREMS FOR NONLINEAR OPERATOR EQUATIONS AND COINCIDENCE DEGREE THEORY FOR SOME MAPPINGS IN LOCALLY CONVEX TOPOLOGICAL VECTOR-SPACES
MAWHIN, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (03) : 610 - &
[36] Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm
Cui, Yunan
Zhan, Yujia
[J]. JOURNAL OF FUNCTION SPACES, 2019, 2019
[37] Nesterov's accelerated gradient method for nonlinear ill-posed problems with a locally convex residual functional
Hubmer, Simon
Ramlau, Ronny
[J]. INVERSE PROBLEMS, 2018, 34 (09)

← 1 2 3 4 →